what is the value of k?​

What Is The Value Of K?

Answers

Answer 1

Answer:

(4k+5)+ (6k+10) = 115

Exterior angle of a triangle is equal to the sum of two opposite interior angles

10k=15=115

10k= 100

k = 100/10

k = 10

Step-by-step explanation:

Answer 2

Answer:

k = 10

Step-by-step explanation:

The 3rd angle that's not defined in the equation is supplementary to 115, so the angle is 180-115 = 65.

We can solve for the equation 65+(4k+5)+(6k+10)=180 -> 65+4k+5+6k+10=180 -> 10k+80 = 180 -> 10k = 100 -> k = 10.

To double-check(optional), we can plug k back into the equation, so 65 + 4*10 + 5 + 6*10 + 10 = 180 -> 100 + 65 + 5 + 10 = 180 -> 180 = 180, so we can confirm that k = 10.


Related Questions

Evaluate the function.
f(x) = -x^2+ 7x - 13
Find f(-3)

Answers

the answer to this is -25
f(x) = -x^2 +7x-13
f(-3) = -(-3)^2 + 7(-3) - 13
f(-3) = 3^2 -21 -13
f(-3) = 9-21-13
f(-3)= -25

Which of the following graphs represents the equation y=2x−3?

Answers

Answer:

D. (the one in the right hand bottom corner)

Answer:

Bottom right

Step-by-step explanation:

The equation is y = 2x - 3

2 represents the slope

-3 represents the y-intercept

The y-intercept is when x = 0

So first, we look at the graphs and find the graphs that display when x = 0, y = -3 aka (0, -3)

From this, we can deduce the two graphs on the left side are wrong

It must be the two on the right

Now we figure out which one has a slope of 2 aka rise over run = 2/1

Which graph goes up (rises) 2 units and goes forward (runs) 1 unit?

The top right graph depicts a slope of 1/2, not 2/1 so this is incorrect

The bottom right graph displays a slope of 2/1 aka 2

Bottom right graph is the correct answer

can y'all pleas help me with this

Answers

Answer:

B

Step-by-step explanation:

Siri said thats right

Answer:

-18

Step-by-step explanation:

the square root of 324 is 18, so you add the negative sign, and get your answer

please help me with this one

Answers

The answer is f because it equals 1/3 and f is 1/3
answer is f because 1/3 = f

Order -3, 5, 16, and -10 from least to greatest.

Answers

Answer:

-10, -3,  5, 16

Step-by-step explanation:

even though the negative number (10) might seem big, but its not

Answer:

-10,-3,5,16

Step-by-step explanation:

-10 is 10 times smaller than 1

-3 is 3 times smaller than 1

5 is 5 times bigger than 1

16 is 16 times bigger than 1

Paul bought 2.25 meters of wood to make 5 shelves of equal length . What is the length of each shelf ? show your work on a picece of paper

Answers

Answer:

Length of each shelf is 0.45 meters

Step-by-step explanation:

Given

[tex]Total\ Length = 2.25\ meters[/tex]

[tex]Shelves = 5[/tex]

Required

Determine the length of each shelf

This is calculated by dividing the total length by number of shelves as thus:

[tex]Length = Total\ Length/Number\ of\ Shelf[/tex]

[tex]Length = 2.25m /5[/tex]

[tex]Length = 0.45m[/tex]

Hence;

Length of each shelf is 0.45 meters

Answer:

0.45

Step-by-step explanation:

Write the equation of a line that is perpendicular to y=1/2x-6 that passes through the point (6,4)

Answers

Answer:

y=-2x

Step-by-step explanation:

Hope this helps! :)

6th grade math I mark as brainliest

Answers

Answer:

2 3/10

Step-by-step explanation:

9 9/10 - 7 3/5

Answer:

b

Step-by-step explanation:

you would subtract and get answer

Which is bigger 9 to the 27th power or 3 to the 81 power

Answers

3^81 is bigger than 9^27.

.
क. गाय

(D द्रव्यवा चक संज्ञा का उदाहरण कौन सा है?
ख. दूध क. गाय
ग. पंखा
घ. सेना।
कौन सा शब्द समूहवाचक संज्ञा नहीं हैं?
फ. भीड़ख ख. कक्षा
ग. सेना
घ. चिड़िया ।
6 ताजमहल आगरा में स्थित है। रेखांकित शब्द की
संजा बताइए?
क. व्यक्तिवाचक संज्ञा ख. जातिवाचक संज्ञा ।
ग. भाववाचक संज्ञा घ. समूहवाचक संज्ञा ।​

Answers

Answer:

I dont know how to read hindi can u pls translate it into English

ख.दुध
चिडिया
There is no underlined word in question no.3

Find the missing side and angle indicated in the picture. Round your answers to the nearest tenth.
Enter your answer as equations separated by a comma.

Answers

Answer:

AC = 30 in

m∠B = 36,9°

m∠A = 53,1°

Step-by-step explanation:

1 AC

You gan get AC with the pythagorean theorem:

a²+b²=c²

We are looking for side b of the triangle, so the equation is rearranged for b.

BC²+AC²=AB²    | -BC²

AC²=AB²-BC²

AC=√(AB²-BC²)

Now the given values are used:

b=√(50²-40²)

b=√(2500-1600)

b=√900

b=30 in

2 m∠B

This angle can be calculated using the sine law:

sine(angle)=opposite cathete/hypothenus

We are looking for angle m∠B of the triangle.

sin(m∠B)=AC/AB

sin(m∠B)=30in/50in

sin(m∠B)=0,6

m∠B=36,9°

3 m∠A

This angle can be calculated using the sine law:

sine(angle)=opposite cathete/hypothenus

We are looking for angle m∠A of the triangle.

sin(m∠A)=BC/AB

sin(m∠A)=40in/50in

sin(m∠A)=0,8

m∠A=53,1°

f(x)=-7x2+8x+2 how many x-intercepts does the graph of f have

Answers

The graph has 2 intercepts, as it is a parabola with a degree of 2.


please answer and show

Answers

Answer:

[tex]x\in (-\infty,11][/tex]

Step-by-step explanation:

Inequalities

Solve the following inequality:

[tex]-3x+14\ge 3-2x[/tex]

Adding 2x:

[tex]-3x+14+2x\ge 3[/tex]

Subtracting 14:

[tex]-3x+2x\ge 3-14[/tex]

Operating:

[tex]-x\ge -11[/tex]

Multiplying by -1 and flipping the sign:

[tex]x\le 11[/tex]

Solution:

[tex]\boxed{x\in (-\infty,11]}[/tex]

plz someone help on this question​

Answers

Answer:

Hi there!

Your answer is:

1050 liters per 6 days

Step-by-step explanation:

350liters per 2 days

*3 to determine 6 days

1050 liters per 6 days

Hope this helps

Answer:

1050

Step-by-step explanation:

350 liters per 2 days

to get 6 days you will need to multiple 2 by 3

you need to do that to 350 too

350   x    3 = 1050

your ration is 350:2

make it to

1050:6

let me know if you need more help

help this is overdue

35 <7(2−b) or 13(15b−12)≥21

Answers

35 < 7 ( 2-b ) or 13 ( 15b-12)>= 21

35 < 14 - 7b or 195 b - 156 >= 2

35-14<-7b or 195b >= 2 + 156

21 < -7b or 195 b >= 158

b < 21/-7 or b>= 158/195

b < -3 or b >= 158/195

The simplification form of the inequality 35 <7(2−b) or 13(15b−12)≥21 is b < -3 or b  ≥  158/195.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is:

35 < 7(2 − b) or 13(15b − 12) ≥ 21

After simplification:

35 < 14 - 7b or 195 b - 156 ≥  2 (using distributive property)

35-14<-7b or 195b ≥  2 + 156

21 < -7b or 195 b ≥  158

b < 21/-7 or b ≥  158/195 (division property of equality)

b < -3 or b  ≥  158/195

Thus, the simplification form of the inequality 35 <7(2−b) or 13(15b−12)≥21 is b < -3 or b  ≥  158/195.

Learn more about the inequality here:

brainly.com/question/19491153

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is 0.007 times 10 equivalent to 0.07

Answers

Yes 0.007*10= 0.07
Youre correct

Answer:

Yes they are equivalent since you multiply by 10, you move the decimal place one spot to the right. It is very simple.

Step-by-step explanation:

Hope I could help :D


Which equation represents a line that is parallel to the
line shown on the graph?

Answers

Answer:

I need a picture or example to answer

Step-by-step explanation:

Which is the answer please?

Answers

Answer:

where is the answer

Step-by-step explanation:

. A random sample of 100 children with working mothers showed that they were absent from school an average of 6 days per term with a standard deviation of 1.6 days. Provide a 98% confidence interval for the average number of days absent per term for all the children. a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points) b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)

Answers

Answer:

a) The equation is:

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b) The 98% confidence interval = (5.62784, 6.37216)

Step-by-step explanation:

a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

Mean = 6 days

Standard deviation = 1.6 days

Number of samples = 100

Z score of 98% confidence interval = 2.326

Confidence interval = 6 ± 2.326 × 1.6/√100

= 6 ± 2.326 × 1.6/10

= 6 ± 0.37216

= 6 - 0.37216

= 5.62784

6 + 0.37216

= 6.37216

Therefore, the 98% confidence interval = (5.62784, 6.37216)

Help please on number 2 math problem.

Answers

Answer:

Its's $3 for an adult ticket and $1 for a student ticket

Step-by-step explanation:

Write 50,170,000,000 in scientific notation

Answers

Answer:

lrrjrklrk

krknfene

lrrjrklrk

Step-by-step explanation:

krknfene

lrrjrklrk

krknfene

Answer:

the scientific notation is

5.017E10

the price of an ink cartridge for scott's printer has decreased from $15.00 to $12.00. what is the percent of decrease?

a. 20%
b. 25%
c. 50%
d. 80%

Answers

Answer:

a

Step-by-step explanation:

15*20%=3

15-3=12

The answer is a, which is also 20%

6.) Consider the functions f(x) = -2x + 1 and g(x) = 4x - 5

find f(3)

Answers

Answer:

[tex]f(3)=-5[/tex]

Step-by-step explanation:

We have the functions [tex]f(x)=-2x+1[/tex] and [tex]g(x)=4x-5[/tex]

We want to find [tex]f(3)[/tex]. So, we can use our first function.

Substitute 3 for x. This yields:

[tex]f(3)=-2(3)+1[/tex]

Multiply:

[tex]f(3)=-6+1[/tex]

Add:

[tex]f(3)=-5[/tex]

So:

[tex]f(3)=-5[/tex]

x and y intercepts for -4x+2y=6​

Answers

Answer:

y-intercept = 3

x- intercept = -1.5

Step-by-step explanation:

-4x + 2y = 6

+4x          + 4x

2y = 4x + 6

2          2

y = 2x + 3

Graph then you would get the coordinates of (0, 3) and (-1.5, 0)

Answer:

x intercept: (-3/2,0)

y intercept:(0,3)

Step-by-step explanation:

Maya bought a dozen specialty donuts at the bakery for $18. She purchased a mixture of frosted donuts for $2 each, glazed donuts for $1 each, and custard filled donuts for $5 each. If Maya purchased twice as many frosted donuts as custard filled donuts, how many of each type of donut did she buy? Variables: mixture of frosted donuts X y = glazed donuts Z = custard filled donuts System: System in standard form:​

Answers

Answer:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Step-by-step explanation:

Let the quantity of frosted donuts = [tex]x[/tex]

Let the quantity of glazed donuts = [tex]y[/tex]

Let the quantity of custard filled donuts = [tex]z[/tex]

As per question statements, following equations can be made:

[tex]x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)[/tex]

Putting [tex]x=2x[/tex] in (1) and (2):

[tex]y+3z=12 .... (4)\\y+9z=18 .... (5)[/tex]

Subtracting (4) from (5):

[tex]6z=6\\\Rightarrow z =\bold{1}[/tex]

By equation (3):

[tex]x=\bold{2}[/tex]

By equation (1):

[tex]y=\bold{9}[/tex]

Therefore, the answers are:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Explain what the vertical line test is and how it is used.

Answers

Answer:

Sample Response: The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.

Step-by-step explanation:

I just got the sample response.

The vertical line test is a method used to determine whether a graph represents a function or not.

The vertical line test is a method used to determine whether a graph represents a function or not. It is a visual tool that helps identify if there is a unique output for every input value in a given graph.

To perform the vertical line test, imagine a vertical line that can be moved across the graph. If the vertical line intersects the graph at only one point for every possible position, then the graph represents a function.

In other words, if no vertical line passes through the graph in more than one location, the graph passes the vertical line test and is considered a function.

The vertical line test is a simple and effective way to check if a graph represents a function visually. It helps determine the relationship between the input and output values and identifies whether there is a one-to-one correspondence or not.

Learn more about Vertical Line test here:

https://brainly.com/question/29263148

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90 minus 50 divided by 5 times 6 plus 2

Answers

Anwer:32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

To find out what to do first, use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, ans Subtraction)

Now it should look like this: (90-((50/5)*6)) + 2

First, divide 50 by 5 and get 10

So now it will be like this: (90-(10 x 6) + 2

Next, multiply 10 by 6 and you'll get 60.

The problem is looks like this: (90 - 60) + 2

Then, subtract 60 from 90 and get 30.

30 + 2

Lastly, add 30 and 2 to get 30.

Hope this helps.

5. Find LK

Plz help it’s co confusing

Answers

LK + KJ = 43

LK + 25 = 43

LK = 43 - 25

LK = 18

_________________________________

And we're done.....♥️♥️♥️♥️♥️

LK + KJ = 43

LK+25=43

LK=43-25

LK=18

Simplify the equation

Answers

I believe it is 9/12x + 12

A shape is shown on the graph


Which of the following is a reflection of a shape?(50 points)

Answers

I believe it’s 90 I’m not sure but

A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6.

Step-by-step explanation:

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